86677632 has 96 divisors (see below), whose sum is σ = 253372080. Its totient is φ = 28435968.

The previous prime is 86677609. The next prime is 86677663. The reversal of 86677632 is 23677668.

86677632 is a `hidden beast` number, since 8 + 6 + 6 + 7 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76623 + ... + 77745.

Almost surely, 2^86677632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126686040).

86677632 is an abundant number, since it is smaller than the sum of its proper divisors (166694448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86677632 is a wasteful number, since it uses less digits than its factorization.

86677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1195 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 86677632 is about 9310.0822767578. The cubic root of 86677632 is about 442.5567943955.

The spelling of 86677632 in words is "eighty-six million, six hundred seventy-seven thousand, six hundred thirty-two".